13977577577990 has 128 divisors (see below), whose sum is σ = 28531077120000. Its totient is φ = 4894330821120.

The previous prime is 13977577577983. The next prime is 13977577577993. The reversal of 13977577577990 is 9977577577931.

13977577577990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13977577577899 and 13977577577908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13977577577993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179163011 + ... + 179241009.

It is an arithmetic number, because the mean of its divisors is an integer number (222899040000).

Almost surely, 2^{13977577577990} is an apocalyptic number.

13977577577990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13977577577990 is an abundant number, since it is smaller than the sum of its proper divisors (14553499542010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13977577577990 is a wasteful number, since it uses less digits than its factorization.

13977577577990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78942.

The product of its (nonzero) digits is 6432459075, while the sum is 83.

The spelling of 13977577577990 in words is "thirteen trillion, nine hundred seventy-seven billion, five hundred seventy-seven million, five hundred seventy-seven thousand, nine hundred ninety".